Wind energy is a principal form of renewable energy being actively developed by many nations in the world. The model of wind turbine flow is based on the Navier-Stokes equation with rotational dynamics, which is rather challenging to analyze mathematically. Thus, much of any useful study must be done via computational mechanics involving large-scale scientific computation. In this talk, the speaker will first give some overviews of wind energy development, and then present his study of some issues of interest from a mathematical perspective. In particular, he will present recent numerical results and visulization obtained by his group at Texas A&M University and Texas A&M University-Qatar computed by using the OpenFOAM software, leading to an improved understanding of wind-turbine flows and wind farm layout designs.